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Parameterization of the stress-strain relation for modeling wave propagation in nearly incompressible transversely isotropic materials.

Publication ,  Journal Article
Jin, FQ; Rouze, NC; Nightingale, KR; Palmeri, ML
Published in: The Journal of the Acoustical Society of America
December 2024

The stress-strain relation in a transversely isotropic (TI) material is described by five independent parameters. In the incompressible limit, only three parameters are required to describe shear wave propagation. Existing material parameterization models are not ideal for the analysis of wave propagation in the nearly incompressible TI (NITI) regime due to difficult-to-interpret parameters, complicated forms of the stiffness matrix elements, or the lack of five independent parameters. This study describes a new parameterization model for a general, TI material that uses the bulk modulus K, shear moduli μT and μL, a modulus-like term μE, and a new parameter η. In the proposed parameterization model, each parameter has a clear interpretation related to compressibility and shear wave propagation. The incompressible limit is represented by the limit K → ∞. Wave speeds and polarizations are derived and evaluated in both incompressible and NITI regimens. First-order NITI corrections are shown to be inversely proportional to the ratio of bulk modulus to shear moduli. In biological soft tissues, this ratio is approximately 106. NITI corrections depend on all five independent parameters; however, the small scale of these corrections validates previous studies that have assumed particular values for the parameter η.

Duke Scholars

Published In

The Journal of the Acoustical Society of America

DOI

EISSN

1520-8524

ISSN

0001-4966

Publication Date

December 2024

Volume

156

Issue

6

Start / End Page

3821 / 3837

Related Subject Headings

  • Acoustics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Jin, F. Q., Rouze, N. C., Nightingale, K. R., & Palmeri, M. L. (2024). Parameterization of the stress-strain relation for modeling wave propagation in nearly incompressible transversely isotropic materials. The Journal of the Acoustical Society of America, 156(6), 3821–3837. https://doi.org/10.1121/10.0034557
Jin, Felix Q., Ned C. Rouze, Kathryn R. Nightingale, and Mark L. Palmeri. “Parameterization of the stress-strain relation for modeling wave propagation in nearly incompressible transversely isotropic materials.The Journal of the Acoustical Society of America 156, no. 6 (December 2024): 3821–37. https://doi.org/10.1121/10.0034557.
Jin FQ, Rouze NC, Nightingale KR, Palmeri ML. Parameterization of the stress-strain relation for modeling wave propagation in nearly incompressible transversely isotropic materials. The Journal of the Acoustical Society of America. 2024 Dec;156(6):3821–37.
Jin, Felix Q., et al. “Parameterization of the stress-strain relation for modeling wave propagation in nearly incompressible transversely isotropic materials.The Journal of the Acoustical Society of America, vol. 156, no. 6, Dec. 2024, pp. 3821–37. Epmc, doi:10.1121/10.0034557.
Jin FQ, Rouze NC, Nightingale KR, Palmeri ML. Parameterization of the stress-strain relation for modeling wave propagation in nearly incompressible transversely isotropic materials. The Journal of the Acoustical Society of America. 2024 Dec;156(6):3821–3837.

Published In

The Journal of the Acoustical Society of America

DOI

EISSN

1520-8524

ISSN

0001-4966

Publication Date

December 2024

Volume

156

Issue

6

Start / End Page

3821 / 3837

Related Subject Headings

  • Acoustics